10
10.0

Nov 17, 2018
11/18

by
Denne, Ben

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eye 10

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47 pages : 25 cm

Topics: Computer network resources, Outer space -- Juvenile literature, Outer space -- Computer network...

7
7.0

Jun 24, 2021
06/21

by
Denne, Ben

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eye 7

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favorite 1

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47 pages :

Topics: Espace -- Ouvrages pour la jeunesse, Astronomie -- Ouvrages pour la jeunesse, Astronautique --...

54
54

Jan 22, 2020
01/20

by
Denne, Ben

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eye 54

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favorite 4

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comment 0

32 pages : 28 cm

Topics: Magic tricks -- Juvenile literature, Magic tricks

2
2.0

Jun 24, 2021
06/21

by
Denne, Ben

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eye 2

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favorite 1

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47 pages : 25 cm

Topics: Computer network resources, Outer space -- Juvenile literature, Outer space -- Computer network...

156
156

Aug 18, 2020
08/20

by
Denne, Ben

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eye 156

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favorite 21

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comment 0

128 pages : 21 cm

Topics: Spanish language -- Textbooks for foreign speakers -- English, Spanish language -- Grammar --...

20
20

Aug 5, 2021
08/21

by
Denne, Ben

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eye 20

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favorite 2

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comment 0

64 pages : 28 cm

Topics: Ocean -- Juvenile literature, Ocean -- Computer network resources -- Juvenile literature, Marine...

53
53

Jul 13, 2018
07/18

by
Denne, Ben

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eye 53

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favorite 1

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comment 0

47 pages : 25 cm

Topics: Astronomy, Outer space -- Juvenile literature, Outer space, Outer space -- Exploration

6
6.0

Jun 29, 2018
06/18

by
Elizabeth Denne

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A quadrisecant line is one which intersects a curve in at least four points, while an essential secant captures something about the knottedness of a knot. This survey article gives a brief history of these ideas, and shows how they may be applied to questions about the geometry of a knot via the total curvature, ropelength and distortion of a knot.

Topics: Geometric Topology, Mathematics

Source: http://arxiv.org/abs/1608.02608

15
15

Nov 17, 2020
11/20

by
Denne, Ben

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eye 15

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favorite 5

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comment 0

64 pages : 18 cm

Topics: Ocean -- Encyclopedias, Juvenile, Oceanography -- Encyclopedias, Juvenile, Marine ecology --...

31
31

Aug 21, 2020
08/20

by
Denne, William

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eye 31

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favorite 4

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comment 0

144 pages : 24 cm

Topic: Herb gardening

61
61

Sep 23, 2013
09/13

by
E. Denne

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eye 61

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It is known that for every knotted curve in space, there is a line intersecting it in four places, a quadrisecant. Comparing the order of the four points along the line and knot we can distinguish three types of quadrisecants; the alternating ones have the most relevance for the geometry of a knot. In this paper we prove that every (nontrivial tame) knot has an alternating quadrisecant. This result had applications to the total curvature, second hull and ropelength of knots.

Source: http://arxiv.org/abs/math/0510561v1

37
37

Nov 11, 2019
11/19

by
Denne, Ben

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eye 37

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favorite 3

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47 pages : 25 cm

Topics: Computer network resources, Outer space -- Juvenile literature, Outer space -- Computer network...

26
26

May 2, 2021
05/21

by
Denne, Ben

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eye 26

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favorite 2

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comment 0

1 volume : 28 cm +

Topics: Magic tricks -- Juvenile literature, Magic tricks

11
11

Oct 13, 2021
10/21

by
Denne, Ben

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eye 11

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favorite 3

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comment 0

64 pages : 18 cm

Topics: Ocean -- Juvenile literature, Marine biology -- Juvenile literature, Ships, Shipwrecks, Ocean,...

24
24

Jan 23, 2019
01/19

by
Denne, Ben

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eye 24

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favorite 2

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47 pages : 25 cm

Topic: {u'10': u'Espacio exterior -- Exploracio\u0301n -- Literatura juvenil', u'13': u'Exploration of...

247
247

Oct 23, 2020
10/20

by
Denne, Ben

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eye 247

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favorite 14

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comment 0

128 pages : 21 cm

Topics: Spanish language -- Conversation and phrase books -- English, Spanish language -- Textbooks for...

7
7.0

Jul 16, 2022
07/22

by
Denne, Ben

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eye 7

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favorite 1

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comment 0

64 pages : 28 cm

Topics: Organisation communautaire d'écoute et d'aide naturelle -- Computer network resources -- Juvenile...

6
6.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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The volume below the surface z=sin(x)cos(y), above the xy-plane and inside the rectangle [0,pi/2]x[0,pi/2] is approximated by 8 slices, where the y-value has been held constant at the midpoint of each sub-interval (so y=pi/32, 3pi/32, ... , 15pi/32). This is an illustration of Fubini's Theorem and iterated integration. This model pairs nicely with Volume: slices x constant and Volume: no slices. See http://www.thingiverse.com/thing:928461 and http://www.thingiverse.com/thing:928456. This model...

Topics: Multivariable_Calc, thingiverse, stl, Math

5
5.0

Apr 15, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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Update 2/26/2015 Thanks to DesignMakeTeach for suggestions for improving this model. I've redone the model with these in mind. New file is tetrahedron_keller_2016.stl. This model is the tetrahedron defined by equations y=−6, z=0, z=x+4, and 2x+y+z=4. The equations are printed on the model. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17). See http://mathvis.academic.wlu.edu/2015/07/14/tetrahedra/ for more information.

Topics: Multivariable_Calc, Math, thingiverse, stl

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This is the curve parametrized by x=cos(t), y=sin(t), z=1/(1+t^2) from t=-2pi to t=2pi. One .stl file has the equations on the curve, the second does not. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Topics: Math, thingiverse, stl, Multivariable_Calc, Parametrized_curve

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This is a (2,3) torus knot with a variety of options for printing. The 2_3_torus_knot_new.stl is a larger, thinner model (shown in grey). One option has the label T(2,3) on the knot, the other option does not have a label. The 2_3_torus_knot_subscript.stl is a smaller, fatter model (shown in black). One option has the label T with the subscripts 2,3, the other option does not have the label. (The label is a little small in this model.) This model was designed and printed by my WLU summer...

Topics: Torus_knot, Math, thingiverse, stl, trefoil_knot, topology

5
5.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This is the curve parametrized by x=tcos(t), y=tsin(t), z=t from t=0 to t=5pi. There are several versions of the curve: 1) spiral_new_merged.stl file has the equations imprinted on the curve - we think this is the best file to print. 2) spiral_thick.stl has equations on the curve, but jutting out of the curve. 3) spiral_thick_no_equations.stl is just the curve used in each print. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Topics: stl, spiral, Parametrized_curve, spiral_cone, Math, thingiverse

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This is a model of the monkey saddle z=x^3-3xy^2. There are two version of the surface, one with the equation, one without. This model was designed and printed by my WLU summer student Emily Jaekle ('16). See http://mathvis.academic.wlu.edu/2015/07/27/monkey-saddle/.

Topics: surface, Math, thingiverse, stl, monkey_saddle, Multivariable_Calc

6
6.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This model shows the helix parametrized by x=cos(t), y=sin(t), z=t for t=0 to t=5pi. There are several print options: the helix can be thick or think, and have the equations imprinted on it or not. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Topics: Math, thingiverse, parametrized_curve, stl, Multivariable_Calc, helix

11
11

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 11

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Customized version of http://www.thingiverse.com/thing:1159436 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=1159436

Topics: thingiverse, Interactive Art, stl, customized

5
5.0

Apr 13, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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The sphere is approximated by 10 very thin solid cylinders. This illustrates the disk method of finding the volume of the sphere, commonly found in a Calculus II course. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). A full description of the build can be found at http://mathvis.academic.wlu.edu/2015/06/22/volumes-by-slicing-disk-method/

Topics: thingiverse, Math, Calculus, stl, Volumes_by_Slices

5
5.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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The area between y=x and y=x^2 is rotated about the line y=1.25. This creates a volume of revolution which looks a bit like a bowl, but with a conical interior and a big hole in the bottom. This volume is approximated by 16 washer shapes. Note that the 16th washer does not appear on the model. (Near the bottom of the bowl, the shape is so flat that the washer is disconnected from the others.) This model pairs with Strange Bowl: smooth & 16 shells (http://www.thingiverse.com/thing:922306 and...

Topics: Other, thingiverse, stl

6
6.0

Apr 13, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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A solid has a circular base of radius 1. Parallel cross-sections perpendicular to the base are equilateral triangles. This solid is approximated by 20 equilateral triangular prisms. This approximation illustrates how the volume of the solid is found using an integral of the cross-sectional slices. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). A description of how the model was designed can be found here:...

Topics: thingiverse, Calculus_II, Math, stl, Volumes_by_Slices

5
5.0

Apr 13, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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Wedge 2 represents the volume enclosed by z=0, x=0, y=0, z=1-x^2, and y=1-x. The equations are printed on the model. The classic Multivariable Calculus problem asks one to express the volume of this volume using a triple integral in six different orders. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17). Details of the construction can be found at http://mathvis.academic.wlu.edu/2015/06/26/exercise-32/. Update 2/26/2016: I've rescaled the model so it...

Topics: thingiverse, stl, Multivariable_Calc, Math

5
5.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This model shows the volume above the xy-plane, outside of a unit sphere and inside the cardioid of revolution Rho=1+Cos(Phi) (in spherical coordinates). A classic Multivariable Calculus problem asks you to find the volume of the solid. (Of course, using spherical coordinates is the easiest way to solve the problem.) Equivalently, the region in the xy-plane above the y-axis, outside the unit circle, and inside the cardioid r=1+Cos(Theta) (in polar coordinates) is revolved around the y-axis,...

Topics: Volume, stl, Multivariable_Calc, Spherical_coord, Math, thingiverse

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This is a (3,2) torus knot with the label T(3,2) added to the knot. One file has the knot with the label, the other with no label. This model was designed and printed by my WLU summer research student Ryan McDonnell('17). See http://mathvis.academic.wlu.edu/2015/07/27/torus-knots/.

Topics: Topology, Torus_Knot, Math, Trefoil_Knot, thingiverse, stl

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This is a model of part of a helicoid with parametric equations x(t)=u.cos(t), y(t)=u.sin(t), and z(t) = 2t/3, where the parameter u goes between -1 and 1. The parameter t goes between 0 and Pi for the half-twist, goes between 0 and 2Pi for the full-twist. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). See http://mathvis.academic.wlu.edu/2015/07/27/helicoids/.

Topics: surface, Math, thingiverse, stl, helicoid, twist

5
5.0

Apr 13, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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The area between the function y=2x^2-x^3 and the x-axis is rotated about the y-axis creating a volume of revolution. This model shows this volume approximated by 16 cylindrical shells. (The 16th shell in the center has zero volume so is not included in the print model!) Note that this volume of revolution is an example of one whose volume cannot be computed using the method of disks. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17). A detailed...

Topics: thingiverse, Math, Calculus, Cylindrical_shells, stl

5
5.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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We approximate the volume below the surface z=16-x^2-2y^2 and above the square [0,2]x[0,2] with a double Riemann sum. We take the [0,2]x[0,2] square and subdivide it into 64 smaller squares, then create a rectangular prism by choosing the height to be the function value in the center of the square. The height was also scaled down by a factor of four. The resulting collection looks like a bunch of french fries! Together with Volume by 16 & no French Fries, this shows how a double Riemann sum...

Topics: Multivariable_Calc, thingiverse, stl, Math

5
5.0

Apr 14, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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Here is a set of coordinate axes for 3-dimensional space. The ends of the axes have been labeled with x, y, and z. They have been made so that many of the models (Wedges 1 & 2, Volumes by French Fries) will fit into them. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Topics: thingiverse, stl, Multivariable_Calc, Math

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This model shows the volume of intersection between the sphere x^2+y^2+z^2=2 and z=x^2+y^2. One .stl file has the equations imprinted on the surface, the other does not. This file was designed and printed by my WLU summer research student Ryan McDonell ('17).

Topics: paraboloid, Math, thingiverse, stl, Multivariable_Calc, sphere

12
12

Apr 22, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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Here is a pair-of-pants surface designed for the InforMath project funded by the National Science Foundation (DRL-1323587). The InforMath project (http://informalmathematics.org/) is a partnership between San Diego State University and several museums at the Balboa Park, including the Reuben H. Fleet Science Center (http://www.rhfleet.org/) These models are designed to join together using small magnets. There are two options for the print files, ones with small holes for the magnets and ones...

Topics: Math, topology, Pair-of-pants, stl, math, thingiverse, surface

12
12

Apr 27, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 12

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Hyperboloid of one sheet, made taller and thinner than my last model (http://www.thingiverse.com/thing:922323). Three print files here. The hyperbolic-vase-tall.stl file is designed to enable you to use the spiral print function that many printers have. (You don't print the top and bottom layers of the model, instead the nozzle goes around in a spiral, printing the surface 1 layer thick.) The other two files are for traditional versions of the surface (about 2mm thick), one with an equation and...

Topics: stl, thingiverse, Math

32
32

Dec 29, 2020
12/20

by
De Denne, Lynette

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eye 32

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favorite 7

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144 p., [4] p. of plates : 25 cm

Topic: Embroidery

5
5.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This model shows the hyperboloid of two sheets -x^2-y^2+z^2=1. One model has the equation on it, the other does not. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). For more information go here: http://mathvis.academic.wlu.edu/2015/07/21/quadratic-surfaces-hyperboloid-of-two-sheets/.

Topics: stl, Quadratic, Hyperboloid, Surface, Multivariable_Calc, Math, thingiverse

6
6.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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This Steinmetz solid is the solid common to three right circular cylinders of equal radii intersecting at right angles. It pairs nicely with the Three Intersection Cylinders object (http://www.thingiverse.com/thing:917132). This model was designed and printed by my WLU summer research student Emily Jaekle ('16). See http://mathvis.academic.wlu.edu/2015/07/12/three-intersecting-cylinders/.

Topics: cylinder, stl, Surface, Multivariable_Calc, Intersecting_Cylinders, Steinmetz, Math, thingiverse

5
5.0

Apr 15, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 5

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This model shows the volume below the surface z=sin(x)cos(y), above the xy-plane and inside the rectangle [0,pi/2]x[0,pi/2]. This model pairs nicely with two other models Volume: slices x constant and Volume: slices y constant as an illustration of Fubini's Theorem and iterated integration. See http://www.thingiverse.com/thing:928461 and http://www.thingiverse.com/thing:928463. This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Topics: Multivariable_Calc, Math, thingiverse, stl

5
5.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This models shows the paraboloid z=x^2+y^2 with its formula. There is a second .stl file giving the surface without a formula. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). See http://mathvis.academic.wlu.edu/2015/07/20/quadratic-surfaces-paraboloids/ for more information.

Topics: Paraboloid, Math, thingiverse, stl, Multivariable_Calc, Quadratic, Surface

11
11

Apr 23, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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A 6_2 knot designed by Candace Bethea and edited by Dave Pfaff and myself from my Math 341 Introduction to Topology class in Fall 2014.

Topics: stl, Math, thingiverse

12
12

Apr 23, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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This is a Seifert surface of a figure 8 knot designed by Mithra Muthukrishnan and edited by Dave Pfaff and myself for my Math 341 Introduction to Topology class in Fall 2014. The colored model shows the knot in pink/red, one side of the Seifert surface in white and the other side in yellow

Topics: stl, Math, thingiverse

12
12

Apr 21, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 12

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Customized version of http://www.thingiverse.com/thing:1159436 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=1159436

Topics: thingiverse, Interactive Art, stl, customized

12
12

Mar 9, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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eye 12

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Here is a soap-film frame for a Schwarz P minimal surface that I designed for the InforMath project funded by the National Science Foundation (DRL-1323587). The InforMath project (http://informalmathematics.org/) is a partnership between San Diego State University and several museums at the Balboa Park, including the Reuben H. Fleet Science Center (http://www.rhfleet.org/). A Schwarz P surface is a triply periodic minimal surface. The circles and lines in the frame all lie on the minimal...

Topics: Schwarz_P_surface, geometry, Math, math, stl, thingiverse, soap_bubble, minimal_surface

13
13

Apr 23, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 13

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Three interlocking trefoil knots designed by Hayley Archer-McClelland and edited by Dave Pfaff and myself as part of my Math 341 Introduction to Topology course in Fall 2014. Each trefoil knot is linked with the two others.

Topics: stl, Math, thingiverse

6
6.0

Mar 21, 2021
03/21

by
Elizabeth Denne (dennedesigns)

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This model shows two halves of the cone z^2=4x^2+4y^2. One half has an equation, the other does not. This model was designed and printed by my WLU summer research student Emily Jaekle ('16). See http://mathvis.academic.wlu.edu/2015/07/20/quadratic-surfaces-cone/ for more information.

Topics: stl, Quadratic, Surface, Multivariable_Calc, Math, cone, thingiverse

6
6.0

Apr 16, 2021
04/21

by
Elizabeth Denne (dennedesigns)

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eye 6

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Customized version of http://www.thingiverse.com/thing:239158 Created with Customizer! http://www.thingiverse.com/apps/customizer/run?thing_id=239158

Topics: customized, thingiverse, Math Art, stl